168760073664 has 1008 divisors, whose sum is σ = 644035182336. Its totient is φ = 41803776000.

The previous prime is 168760073659. The next prime is 168760073681. The reversal of 168760073664 is 466370067861.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 168760073664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 420847864 + ... + 420848264.

It is an arithmetic number, because the mean of its divisors is an integer number (638923792).

Almost surely, 2^168760073664 is an apocalyptic number.

168760073664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168760073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322017591168).

168760073664 is an abundant number, since it is smaller than the sum of its proper divisors (475275108672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168760073664 is a wasteful number, since it uses less digits than its factorization.

168760073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 168760073664 in words is "one hundred sixty-eight billion, seven hundred sixty million, seventy-three thousand, six hundred sixty-four".